Counting Integral Lamé Equations by Means of Dessins d'Enfants

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dc.creatorDahmen, Sander
dc.date2003-11-27
dc.date.accessioned2026-07-07T05:03:21Z
dc.date.available2026-07-07T05:03:21Z
dc.descriptionWe obtain an explicit formula for the number of Lamé equations (modulo scalar equivalence) with index $n$ and projective monodromy group of order $2N$, for given $n \in \Z$ and $N \in \N$. This is done by performing the combinatorics of the `dessins d'enfants' associated to the Belyi covers which transform hypergeometric equations into Lamé equations by pull-back.
dc.descriptionwith 9 figures
dc.identifierhttps://arxiv.org/abs/math/0311510
dc.identifierhttp://arxiv.org/abs/math/0311510
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69382
dc.subjectClassical Analysis and ODEs
dc.subject12H20; 34L40, 34M15
dc.titleCounting Integral Lamé Equations by Means of Dessins d'Enfants
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